Question 89
The measures of the four angles of a quadilateral are in the ratio 3:4:5:6. What is the measure of the biggest angle?
Solution
Let the four angles of the quadrilateral be $$3x , 4x , 5x$$ and $$6x$$
Sum of internal angles of a quadrilateral = 360°
=> $$3x + 4x+5x+6x = 360$$°
=> $$18x=360$$°
=> $$x=\frac{360}{18}=20$$°
$$\therefore$$ Biggest angle = $$6x=6\times20=120$$°
=> Ans - (A)
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